The incident in Sunday's match occurred after the Japan international won a penalty.
Strachan brushed aside any complaints about the decision but had plenty to say about the treatment handed out to Nakamura, claiming more publicity would have been given to the incident if Wright had been an Old Firm player.
He said: "I think if you look in the rules, if you pull someone by the jersey (it's a penalty).
"You didn't see it properly on television because the camera was at the wrong side but the referee saw it right away. What surprisingly wasn't shown too often was Nakamura getting a slap in the head by one of their players.
"But it was kind of swept under the carpet. I must again praise my players. To be provoked like that and turn away from it is fantastic.
"In any other business, if you get a smack on the head you say something about it.
"But he (Nakamura) was pushed, shoved and slapped on the head and he just walked away from it and continued to show that no matter what you do to him, he was still the best player on the park yesterday."
Nakamura had recently been quoted as saying he could be looking to return to his homeland in January, with one report claiming his agent was flying in to Glasgow to speak to Celtic chief executive Peter Lawwell.
But Strachan refused to give that account any credence as he addressed reporters, saying: "Until somebody speaks to me about it, you guys just deal with the rumours and continue to talk about it and I will deal with reality."